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Finding the Fourth Proportional to 12,152.41, 16,770.38 and 7,048.93

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Solution

The fourth proportional to 12,152.41, 16,770.38 and 7,048.93 is: 9,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.41 : 16,770.38 = 7,048.93 : x
  2. Step 2: Convert to fraction form
    12,152.41/16,770.38 = 7,048.93/x
  3. Step 3: Cross multiply
    12,152.41x = 16,770.38 × 7,048.93
  4. Step 4: Simplify right side
    12,152.41x = 118,213,234.69
  5. Step 5: Solve for x
    x = 118,213,234.69/12,152.41
  6. Step 6: Final answer
    x = 9,727.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.